The calculus was the first achievement of modern mathematics and it is difficult to overestimate its importance. I think it defines more unequivocally than anything else the inception of modern mathematics; and the system of mathematical analysis, which is its logical development, still constitutes the greatest technical advance in exact thinking.

— John Von Neumann

## Sensual Calculus quotations

The true Logic for this world is the Calculus of Probabilities, which takes account of the magnitude of the probability.

But how is one to make a scientist understand that there is something unalterably deranged about differential calculus, quantum theory, or the obscene and so inanely liturgical ordeals of the precession of the equinoxes.

I'm very good at integral and differential calculus, I know the scientific names of beings animalculous; In short, in matters vegetable, animal, and mineral, I am the very model of a modern Major-General.

I never failed in mathematics. Before I was fifteen I had mastered differential and integral calculus.

But just as much as it is easy to find the differential [derivative] of a given quantity, so it is difficult to find the integral of a given differential. Moreover, sometimes we cannot say with certainty whether the integral of a given quantity can be found or not.

### It's a hard, simple calculus: Run until you can't run anymore.

Then run some more. Find a new source of energy and will. Then run even faster.

[All phenomena] are equally susceptible of being calculated, and all that is necessary, to reduce the whole of nature to laws similar to those which Newton discovered with the aid of the calculus, is to have a sufficient number of observations and a mathematics that is complex enough.

### Gout produces calculus in the kidney.

.. the patient has frequently to entertain the painful speculation as to whether gout or stone be the worst disease. Sometimes the stone, on passing, kills the patient, without waiting for the gout.

God does not care about our mathematical difficulties. He integrates empirically.

### Science is the Differential Calculus of the mind.

Art the Integral Calculus; they may be beautiful when apart, but are greatest only when combined.

We can't exempt ourselves from the same moral calculus that we are willing to apply to others.

PLEASURE and pain are undoubtedly the ultimate objects of the calculus of economics. To satisfy our wants to the utmost with the least effort - to procure the greatest amount of what is desirable at the expense of the least that is undesirable - in other words, to maximize pleasure, is the problem of economics.

The theory of probabilities is at bottom nothing but common sense reduced to calculus; it enables us to appreciate with exactness that which accurate minds feel with a sort of instinct for which of times they are unable to account.

Nothing has afforded me so convincing a proof of the unity of the Deity as these purely mental conceptions of numerical and mathematical science.

The calculus is the greatest aid we have to the application of physical truth in the broadest sense of the word.

### I have no fault to find with those who teach geometry.

That science is the only one which has not produced sects; it is founded on analysis and on synthesis and on the calculus; it does not occupy itself with the probable truth; moreover it has the same method in every country.

In the horrifying calculus of self-deception, the greater the pain we inflict on others, the greater the need to justify it to maintain our feelings of decency and self-worth.

### In my free time I do differential and integral calculus.

Calculus, the electrical battery, the telephone, the steam engine, the radio - all these groundbreaking innovations were hit upon by multiple inventors working in parallel with no knowledge of one another.

Among all of the mathematical disciplines the theory of differential equations is the most important... It furnishes the explanation of all those elementary manifestations of nature which involve time.

Calculus is the most powerful weapon of thought yet devised by the wit of man.

If one puts an infinite number of monkeys in front of typewriters, and lets them clap away, there is a certainty that one of them will come out with an exact version of the 'Iliad.'

### The title which I most covet is that of teacher.

The writing of a research paper and the teaching of freshman calculus, and everything in between, falls under this rubric. Happy is the person who comes to understand something and then gets to explain it.

Celestial mechanics is the origin of dynamical systems, linear algebra, topology, variational calculus and symplectic geometry.

One good thing about teaching calculus is that you develop a hardened attitude towards repeating yourself.

Even the simplest calculation in the purest mathematics can have terrible consequences. Without the invention of the infinitesimal calculus most of our technology would have been impossible. Should we say therefore that calculus is bad?

No matter how significant or life-changing your greatest hit or miss might be, neither even begins to define who you are. Each of us is a product of all our experiences and all our interactions with other people. To cite calculus, we are the area under the curve.

Usually, girls weren't encouraged to go to college and major in math and science. My high school calculus teacher, Ms. Paz Jensen, made math appealing and motivated me to continue studying it in college.

### Calculus works by making visible the infinitesimally small.

God created infinity, and man, unable to understand infinity, had to invent finite sets.

Some people prefer not to commingle the functional, lambda-calculus part of a language with the parts that do side effects. It seems they believe in the separation of Church and state.

Calculus required continuity, and continuity was supposed to require the infinitely little; but nobody could discover what the infinitely little might be.